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Finding the Fourth Proportional to 9,512.08, 14,266.96 and 2,586

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Solution

The fourth proportional to 9,512.08, 14,266.96 and 2,586 is: 3,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.08 : 14,266.96 = 2,586 : x
  2. Step 2: Convert to fraction form
    9,512.08/14,266.96 = 2,586/x
  3. Step 3: Cross multiply
    9,512.08x = 14,266.96 × 2,586
  4. Step 4: Simplify right side
    9,512.08x = 36,894,358.56
  5. Step 5: Solve for x
    x = 36,894,358.56/9,512.08
  6. Step 6: Final answer
    x = 3,878.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.